Spectral analysis of a massless charged scalar field with spacial cut-off

Wada, Kazuyuki

Hokkaido University Preprint Series in Mathematics, 2014, 1055, 1-24

Permalink : https://doi.org/10.14943/84199

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アクセス権	open access
DOI	https://doi.org/10.14943/84199
URI	https://hdl.handle.net/2115/69859
タイトル	Spectral analysis of a massless charged scalar field with spacial cut-off
著者	著者名 Wada, Kazuyuki
言語	英語
発行日	2014-05-08
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1055
ページ	1-24
抄録	The quantum system of a massless charged scalar field with a self-interaction is investigated. By introducing a spacial cut-off function, the Hamiltonian of the system is realized as a linear operator on a boson Fock space. It is proven that the Hamiltonian strongly commutes with the total charge operator. This fact implies that the state space of the charged scalar field is decomposed into the infinite direct sum of fixed total charge spaces. Moreover, under certain conditions, the Hamiltonian is bounded below, self-adjoint and has a ground ground state for an arbitrarily coupling constant. A relation between the total charge of the ground state and a number operator bound is also revealed.
資源タイプ	紀要論文
出版タイプ	Version of Record